Sometimes Firefox does some nasty plugin compatibility checks at startup. Since each user may have a different set of browser plug-ins, this may cause a difference in launch time. You can try to synchronize your Firefox profiles between users.
Then, are you sure that Firefox, as user www data, has proper access to the network / internet? Can you confirm that the Flickr site is loading correctly through SeleniumHQ? "The script failed to enter Flickr" is too impenetrable. More information on why this is happening can instantly identify a problem.
Edit: Sorry, I just realized that there shouldn't be a difference in profiles, because Selenium creates one. However, my second point may be useful, so I will not delete this answer.
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